A corollary needs which of the following geometric terms to be proven true?
A Inverse
B. Identity
C. Theorem
D. Common notion

Answer:

Question Answer

I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001

The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have:

I am a number whose prime factors are all of the prime numbers between 6 and 15.

The prime number between 6 and 15:

As we know, the prime number is the number that is divisible by 1 and itself.

Prime number = {7, 11, 13}

= 7×11×13

= 1001

Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

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Answer: 11, 56, 168

Step-by-step explanation: order of operations:

1+10=11.

3+11=14. 14x4=56.

3x56=168

Answer:

$21

Step-by-step explanation:

Multiply 7 by 3, since it increased $3 each week for 7 weeks:

7(3)

= $21

So, the total change in the price of a share of stock was $21

Answer:

Step-by-step explanation:

We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.

If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.

12C8 = 12!/(12-8)!8!

12C8 = 12!/4!8!

12C8 = 12*11*10*9*8!/4*3*2*8!

12C8 =  12*11*10*9/4*3*2

12C8 = 11*10*9/2

12C8 = 11*5*9

12C8 = 495

Hence the committee can sit in the chairs in 495 different ways

Answer:

y = 5x + -9

Step-by-step explanation:

y = mb + b

m = 5

b = -9

Answer:

y = 5x -9

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = 5x -9

Answer:

Kindly check explanation

Step-by-step explanation:

Given The following :

Assume score is normally distributed with;

Mean (m) = 1049

Standard deviation (sd) = 189

Numbw rof observations (n) = 16

A) What is the probability that one randomly selected student scores above 1100 on the GRE?

Zscore = (x - m) / sd

X = 1100

Zscore = (1100 - 1049) / 189

Zscore = 51 / 189 = 0.27

From z-table ; 0.27 correspond to 0.6064

P(X > 1100) = 1 - P(X < 1100) = 1 - 0.6064 = 0.3936

2) sample mean will be equal to population mean = 1049

Sample Standard deviation : (population standard deviation / sqrt (n))

= 189 / sqrt(16) = 189/4 = 47.25

Shape of distribution is approximately normal

3)

P(Z < 1100)

X = 1100

Zscore = (x - m) / standard error

Standard Error = population standard deviation / sqrt (n)

= 189 / 4 = 47.25

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(Z < 1100) = 0.8599

4)

D.)

P(Z > 1100)

X = 1100

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.140

E)

With a sample size of 64

Standard Error becomes:

189 / sqrt(64) = 189/ 8 = 23.63

Zscore = (1100 - 1049) / 23.63

Zscore = 51 / 23.63 = 2.16

P(Z > 2.16) = 1 - P(Z < 2.16) = 1 - 0.9846 = 0.0154

Probability is less due to increase in sample size

Answer:

$1136.88 So she earned more than $1135

Step-by-step explanation:

$8.50 an hour.

31.25 week 1 = 265.625

33.75 week 2 = 286.875

36 week 3 = 306

32.75 week 4 = 278.375

In all - 1136.88 (rounded)

1136.875 (not rounded)

Answer:

[tex]x=7,y=16[/tex]

Step-by-step explanation:

The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.

And, recall that congruent side lengths have the same measure.

So, look at the sides with 2 tick marks. They are congruent. Therefore:

[tex]2x+5=x+12[/tex]

Subtract x from both sides:

[tex]x+5=12[/tex]

Subtract 5 from both sides:

[tex]x=7[/tex]

So, x is 7.

Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:

[tex]y-4=x+5[/tex]

We already know x is 7. So:

[tex]y-4=(7)+5[/tex]

Add:

[tex]y-4=12[/tex]

Add 4 to both sides:

[tex]y=16[/tex]

So, y is 16.

Answer:

The least number of days it  will take each person to save the same amount of money is 36 days.

Step-by-step explanation:

We are given that Steve can save 9 dollars every day while Maria can save 12 dollars.

And we have to find the least number of days it will take each person to save the same amount of money.

Whenever we talk about the least common value, the LCM or Least common multiple comes into account.

Here also; the least number of days it  will take each person to save the same amount of money will be the LCM or Least common multiple of 9 and 12.

LCM of 9 and 12 is calculated as;

2 = 9 , 12    

2 = 9 , 6

3 = 9 , 3

3 = 3 , 1

      1 , 1

Here, the second line means that 12 is divisible by 2 at 6, i.e; 2 [tex]\times[/tex] 6 = 12 and so on.

So, the LCM of 9 and 12 = [tex]2\times 2 \times 3 \times 3[/tex] = 36

Hence, the least number of days it  will take each person to save the same amount of money is 36 days.

Answer:

13 is a prime number, not divisible by any number greater than 1 or less than 13. So the prime factorisation of 78 is: 78 = 2 ⋅ 3 ⋅ 13 This can also be represented by a factor tree:

Step-by-step explanation:

Answer:

78 = 2 ⋅ 3 ⋅ 13

Step-by-step explanation:

78  ends with an even digit, so is divisible by  2 and we find:  78 = 2 ⋅ 39

39  ends with an odd digit, so is not divisible by  2 .

The digits of  39  add up to a multiple of  3 , namely  3 + 9 = 12 . So we can tell that  39  is divisible by  3 : 39 = 3 ⋅ 13

13  is a prime number, not divisible by any number greater than  1  or less than  13 .

So the prime factorization of  

78  is:

78= 2 ⋅ 3 ⋅ 13

Answer:

Constant family

Answer:

Step-by-step explanation:

(A).

No' of siblings           Frequency           Rel. frequency     Cumm. frequency

0                                     51                          0.2429                       51

1                                      37                          0.1762                        51 + 37 = 88

2                                     34                          0.1619                        122

3                                     41                         [tex]\frac{41}{169}=0.2426[/tex]                163

4                                     47                           0.2238                     210

(B).

Percent of people having exactly one sibling = [tex]\frac{\text{Frequency}}{\text{Total frequency}}\times 100[/tex]

                                                                           = [tex]\frac{37}{210}\times 100[/tex]

                                                                           = 17.62%

Answer:

81

Step-by-step explanation:

The area of a square is its side length squared so 9^2 is 81

Answer:

They are some side interior angles. Angle A measures 55 degrees.

Step-by-step explanation:

Angle A is accuse so it can’t be 90 or more, so that narrows you’re options down by two. From there it’s fairly easy to distinguish.

Answer:

Zero

Step-by-step explanation:

Zero

Answer

To fill in the blank, it would be zero

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know if you made a mistake when typing but I am guessing you meant x - 21 = 103

(x-21) = 103 Add 21 to each side

x - 21 + 21 = 103 + 21

x = 124

Answer:

y = 2

Step-by-step explanation:

This equation can be solved three steps, classifying it as a multi-step equation.

To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.

3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.

y + 2 = 4 Subtract 2 from both sides of the equation.

y = 2

Step-by-step explanation:

what concepts of functions can you associate with the picture

The concepts of functions that can be associated with the pictures are :

attached below is the missing diagram.

A concept is general idea about a Thing which can be represented in different forms. It can be visual or non-visual. therefore some of the concept of  function represented in the pictures includes ; money, Financial Accounts, savings.  e.t.c.

Hence from the pictures attached below the concepts that are represented in them includes ; Money, Account, Revenue and Savings.

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Answer:

The dependent variable is N; Number of Napkins

The independent variable is C; Number of Customers

Step-by-step explanation:

Given

[tex]N = f(c) = 2c[/tex]

Required

Determine the dependent and independent variable

Dependent variables are variables that standalone and are not influenced by other variables;

In the given parameters

The customers, C is the independent variable

Independent variables are the opposite of the dependent variables; They depend on other variables for their own values.

In the given parameters

The number of Napkin, N is the dependent variable

Answer:

  see below

Step-by-step explanation:

You can try the answer choices to see which one works. Since the amount repaid is greater than the amount borrowed, you can be pretty sure that the multiplier of x will not be 4/5 (a value less than 1).

You can see right away that

 y = 5/4x

does not work for x=100, because it gives y=(5/4)(100) = 125, and the table value is 135. Note that 135 is 10 more than 125, so we expect that ...

  y = 5/4x +10

will be correct. Trying that function on the other table values shows it fits exactly:

  5/4(200) +10 = 250 +10 = 260

  5/4(500) +10 = 625 +10 = 635

  5/4(800) +10 = 1000 +10 = 1010

_____

You can also use the table values to create the relation equation. One possible method uses the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (260 -135)/(200 -100)(x -100) +135

  y = 125/100(x -100) +135 . . . . simplify a bit

  y = 5/4x -125 +135 . . . . . . . . . simplify more

  y = 5/4x +10 . . . . . . . . . . . . . . simpler yet; matches 3rd choice

Answer:

Step-by-step explanation:

Collin initially have  14

Step-by-step explanation:

Let

x------> money that Brian had initially

y------> money that Collin had initially

we know that

x/y=7/2

solve for x

x=7/2y -------> equation A

y-39=y-4 ------> equation B

substitute equation A in equation B

7/2y-39=y-4

7/2y-y=39-4

5/2y=35

y=14

Answer:

£49.

Step-by-step explanation:

Let the ratio of  brain's money to Colin's is 7x : 2x.

From the given info:

7x - 39  = 2x - 4

5x = -4 + 39 = 35

x = 7

So initially Brian had 7*7 = £49.

Colin had £14.

The correct answer is Josh has 240 points and his brother has 180 points

Explanation:

The ratio 4:3 means for every four points Josh has, his brother has three points. Now, to find how many points each boy has if there are 420 points, follow this process:

1. Use the ratio to write the equivalent fraction

4 : 3 = [tex]\frac{4}{3}[/tex]

2.  Find the total number of parts

4 + 3  = 7

3. Divide the total number into the parts

420 ÷ 7 = 60 (each of the part is equivalent to 60)

4. Multiply the value of each part by each section of the ratio

4 × 60 = 240 - This represents the number of points Josh has if there are 420 points

3 × 60 = 180 - This represents the points Josh's brother has

This means Josh has 240 points and his brother has 180 points

Answer:

Josh has 240 points and his brother has 180 points\

I hope this helps. Have a nice day :D

Answer a=3f+g/b+x

Step-by-step explanation:

Let's solve for a.

a(x+b)=g+3f

Step 1: Factor out variable a.

a(b+x)=3f+g

Step 2: Divide both sides by b+x.

a(b+x)/b+x=3f+g/b+x

a=3f+g/b+x

Answer:

0.3

Step-by-step explanation:

From the question given above, the following data were obtained:

Children (C) = 5

Pet (P) = 3

Adult (T) = 2

Probability of obtaining a photo of pet, P(P) =?

Next, we shall determine the total outcome i.e the sample space (S).

This is illustrated below:

Sample space (S) = nC + nP + nA

Sample space (S) = 5 + 3 + 2

Sample space (S) = 10

Finally, we shall determine the probability of a photo of pet.

This can be obtained as follow:

Event of obtaining Pet, nP = 3

Sample space (S) = 10

Probability of obtaining a phone of pet, P(P) =?

P(P) = nP/nS

P(P) = 3/10

P(P) = 0.3

Therefore, the probability of obtaining a photo of pet is 0.3

Answer:

1. Number of boys in A is 52028.

2. Number of girls in B is 46510.

3. Town B has more number of girls.

Step-by-step explanation:

1. [tex]95364 - 43336 = 52028[/tex]

2. [tex]100005-53495=46510[/tex]

3. [tex]43336<46510[/tex] (A < B)

Answer:

Hey there!

5760/480000=x/600000

Solving for x, we get the answer is $7200.

Let me know if this helps :)

Answer:

$7200

Step-by-step explanation:

We can start by finding out the tax rate by dividing the property tax by assessed value.

$5760/$480,000 = 0.012

From this, we learn the tax rate is 1.2%

Now, we can multiply the assessed value of $600,000 by the tax rate.

$600,000*0.012 = $7200

The property tax on a house with the assessed value of $600,000 is $7200.

Answer:

360

Step-by-step explanation:

.0 is less than .5 so round down

Answer:

360

Step-by-step explanation:

[tex]360.048 = 360[/tex]

0 to 4 = 0(round down)

5 to 9 =1 (round up)

Answer:

33 x 15.80

521.40 x 50= 26,070

B 26,070

Hope this helps! （づ￣3￣）づ╭❤～